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Finding the Fourth Proportional to 259.44, 357.78 and 171.96

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Solution

The fourth proportional to 259.44, 357.78 and 171.96 is: 237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.44 : 357.78 = 171.96 : x
  2. Step 2: Convert to fraction form
    259.44/357.78 = 171.96/x
  3. Step 3: Cross multiply
    259.44x = 357.78 × 171.96
  4. Step 4: Simplify right side
    259.44x = 61,523.85
  5. Step 5: Solve for x
    x = 61,523.85/259.44
  6. Step 6: Final answer
    x = 237.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.